Math?!
This post is mostly for Math geeks =P:
So i was studying all day about maths *sill studying* >.< i decided to take tiny break and check out the net, and honestly i even dont know why i was researching about Math o.O ! and i came out into something that made feel stupid , check it out:
1 + 1 = 1 , dont believe?
Let a = 1 and b = 1.
Therefore a = b, by substitution.
If two numbers are equal, then their squares are equal, too:
a^2 = b^2.
Now subtract b^2 from both sides (if an equation is true, then if
you subtract the same thing from both sides, the result is also
a true equation) so
a^2 - b^2 = 0.
Now the lefthand side of the equation is a form known as "the
difference of two squares" and can be factored into (a-b)*(a+b).
If you don't believe me, then try multiplying it out carefully,
and you will see that it's correct. So:
(a-b)*(a+b) = 0.
Now if you have an equation, you can divide both sides by the same
thing, right? Let's divide by (a-b), so we get:
(a-b)*(a+b) / (a-b) = 0/(a-b).
On the lefthand side, the (a-b)/(a-b) simplifies to 1, right?
and the righthand side simplifies to 0, right? So we get:
1*(a+b) = 0,
and since 1* anything = that same anything, then we have:
(a+b) = 0.
But a = 1 and b = 1, so:
1 + 1 = 0, or 2 = 0.
Now let's divide both sides by 2, and we get:
1 = 0.
Then we add 1 to both sides, and we get:
1 + 1 = 1!
----------------------------------------------------------
yea i know that was nerdy and lame xD but it made me think o.O maybe what they taught was wrong and this is right ?! =P *this what happens to your brain when you over-study T_T *
So i was studying all day about maths *sill studying* >.< i decided to take tiny break and check out the net, and honestly i even dont know why i was researching about Math o.O ! and i came out into something that made feel stupid , check it out:
1 + 1 = 1 , dont believe?
Let a = 1 and b = 1.
Therefore a = b, by substitution.
If two numbers are equal, then their squares are equal, too:
a^2 = b^2.
Now subtract b^2 from both sides (if an equation is true, then if
you subtract the same thing from both sides, the result is also
a true equation) so
a^2 - b^2 = 0.
Now the lefthand side of the equation is a form known as "the
difference of two squares" and can be factored into (a-b)*(a+b).
If you don't believe me, then try multiplying it out carefully,
and you will see that it's correct. So:
(a-b)*(a+b) = 0.
Now if you have an equation, you can divide both sides by the same
thing, right? Let's divide by (a-b), so we get:
(a-b)*(a+b) / (a-b) = 0/(a-b).
On the lefthand side, the (a-b)/(a-b) simplifies to 1, right?
and the righthand side simplifies to 0, right? So we get:
1*(a+b) = 0,
and since 1* anything = that same anything, then we have:
(a+b) = 0.
But a = 1 and b = 1, so:
1 + 1 = 0, or 2 = 0.
Now let's divide both sides by 2, and we get:
1 = 0.
Then we add 1 to both sides, and we get:
1 + 1 = 1!
----------------------------------------------------------
yea i know that was nerdy and lame xD but it made me think o.O maybe what they taught was wrong and this is right ?! =P *this what happens to your brain when you over-study T_T *
